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Finding the Third Proportional to 102,638,596 and 223,345,720

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Solution

The third proportional to 102,638,596 and 223,345,720 is: 486,009,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,638,596 : 223,345,720 = 223,345,720 : x
  2. Step 2: Convert to fraction form
    102,638,596/223,345,720 = 223,345,720/x
  3. Step 3: Cross multiply
    102,638,596x = 223,345,720 × 223,345,720
  4. Step 4: Simplify right side
    102,638,596x = 49,883,310,642,318,400
  5. Step 5: Solve for x
    x = 49,883,310,642,318,400/102,638,596
  6. Step 6: Final answer
    x = 486,009,284.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.